Re: [PrimeNumbers] short proofs
- What happened to this thread? I enjoyed it.
Would be any web "publications" of the proof recolected?
Are any more proofs wanted?
----- Original Message -----
Sent: Monday, April 21, 2003 8:27 PM
Subject: [PrimeNumbers] short proofs
everyone please send in a cool short proof based on primes.
one of my favorites is , the factorial of n with n > 1 can never be a
square... using bertrands postulate there is always a prime between
k and 2k. From this it follows that there is a prime that divides n!
but whose square does not. because in the prime
factorization of a square all exponents are even, thus n! cannot be a
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